Stereo algorithms suuer from the lack of local surface texture due to smoothness of depth constraint , or local miss-matches in disparity estimates. Thus, the stereo methods only provide a coarse depth map which can be associated with a low pass image of the depth map. On the other hand, shape from shading algorithms produce better estimates of local surface areas, but some of them have problem...

The main purpose of the paper is to study sharp estimates of approximation of periodic functions in the Hölder spaces H p for all 0 < p ≤ ∞ and 0 < α ≤ r. By using modifications of the classical moduli of smoothness, we give improvements of the direct and inverse theorems of approximation and prove the criteria for the precise order of decrease of the best approximation in these spaces. Moreove...

The paper presents upper estimates of the error of weighted and unweighted simultaneous approximation by the Bernstein operators and their iterated Boolean sums. The estimates are stated in terms of the Ditzian-Totik modulus of smoothness or appropriate K-functionals. AMS classification: 41A10, 41A17, 41A25, 41A28, 41A35, 41A36.

Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of Kelley at a point and local connectedness are studied in the paper.

Accurate measurement of longitudinal changes of brain structures and functions is very important but challenging in many clinical studies. Also, across-subject comparison of longitudinal changes is critical in identifying disease-related changes. In this paper, we propose a novel method to meet these two requirements by simultaneously registering sets of longitudinal image sequences of differen...

Image simplification and smoothing is a very important basic ingredient of a lot of practical applications. In this paper we compare different numerical approaches to solve this image approximation task within a unifying variational approach presented in [8]. For methods based on fixed point iterations we show the existence of fixed points. To speed up the convergence we also use two approaches...

A face image relighting method using locally constrained global optimization is presented in this paper. Based on the empirical fact that common radiance environments are locally homogeneous, we propose to use an optimization based solution in which local linear adjustments are performed on overlapping windows throughout the input image. As such, local textures and global smoothness of the inpu...

In this paper. we propose an image qualiy iiteasure thor closely reseritbles the image qualiv measure used by the human visual sysiem. I n ourapplicotion. we are tiore concerned with localized errors due to trammission than the global errors due to conipression. a id we develop an approach that is appropriate for this purpose. We use psychophysicnl experiments to derennine the r,iribility rltre...

Following the Bayesian paradigm for image restoration we show how smoothness constraints can be incorporated into the R-L method. We also examine different noise models and study their approximation by Gaussian models that are robust to detector errors.